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zavuch27 [327]
2 years ago
13

What is the volume of the sphere that has a diameter of 3? use 3.14 for pie​

Mathematics
1 answer:
aev [14]2 years ago
5 0

Hey ! there

Answer:

  • <u>1</u><u>1</u><u>3</u><u>.</u><u>0</u><u>4</u><u> </u><u>unit </u><u>cube</u>

Step-by-step explanation:

In this question we are provided with a sphere <u>having</u><u> </u><u>radius </u><u>3 </u><u>units </u>and <u>value </u><u>of </u><u>π </u><u>is </u><u>3.</u><u>1</u><u>4</u><u> </u><u>.</u><u> </u>And we're asked to find the<u> </u><u>volume</u><u> of</u><u> </u><u>sphere</u><u> </u><u>.</u>

For finding volume of sphere , we need to know its formula . So ,

\qquad \qquad \: \underline{\boxed{ \frak{Volume_{(Sphere)} =  \dfrac{4}{3} \pi r {}^{3} }}}

<u>Where</u><u> </u><u>,</u>

  • π refers to <u>3.</u><u>1</u><u>4</u>

  • r refers to <u>radius</u><u> of</u><u> sphere</u>

<u>Sol</u><u>u</u><u>tion </u><u>:</u><u> </u><u>-</u>

Now , we are substituting value of π and radius in the formula ,

\quad \longrightarrow \qquad \: \dfrac{4}{3}   \times 3.14 \times (3) {}^{3}

Simplifying it ,

\quad \longrightarrow \qquad \: \dfrac{4}{3}  \times 3.14 \times 3 \times 3 \times 3

Cancelling 3 with 3 :

\quad \longrightarrow \qquad \: \dfrac{4}{ \cancel{3}}  \times 3.14 \times 3 \times 3 \times  \cancel{3}

We get ,

\quad \longrightarrow \qquad \:4 \times 3.14 \times 9

Multiplying 4 and 3.14 :

\quad \longrightarrow \qquad \:12.56 \times 9

Multiplying 12.56 and 9 :

\quad \longrightarrow \qquad \:    \pink{\underline{\boxed{\frak{113.04  \: unit \: cube}}}} \quad \bigstar

  • <u>Henceforth</u><u> </u><u>,</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>sphere</u><u> </u><u>having </u><u>radius </u><u>3 </u><u>units </u><u>is </u><em><u>1</u></em><em><u>1</u></em><em><u>3</u></em><em><u> </u></em><em><u>.</u></em><em><u>0</u></em><em><u>4</u></em><em><u> </u></em><em><u>units </u></em><em><u>cube </u></em><em><u>.</u></em>

<h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>

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Step-by-step explanation:

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Step-by-step explanation:

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Next, let's divide both sides by h:

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The year book club has a meeting. The meeting has 30 people , which is two thirds of the club. How many people are in the club?
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Read 2 more answers
Math geometry pls help:)<br> Find all missing angles
Naily [24]

Answer:

m<1 = 51 degrees

m<2 = 18 degrees

m<3 = 123 degrees

m<4 = 39 degrees

Step-by-step explanation:

To solve this problem, let's first try to find the measure of angle 1.

To do this, we must remember that the sum of the interior angles of a triangle must equal 180 degrees.  Using this knowledge, we can set up the following equation:

72 + 57 + m<1 = 180

Our first step in solving this equation is to simplify the left side by adding together the two constant terms.

129 + m<1 = 180

Next, we can subtract 129 from both sides of the equation.

m<1 = 51 degrees

Now, we can solve for angle 2.

We can see that angle 2 and the angle measuring 72 degrees together make a right angle, which is 90 degrees.  From this observation, we can set up the following equation:

m<2 + 72 = 90

To solve, we subtract 72 from both sides of the equation.

m<2 = 18 degrees

Now, we can solve for angle 3.

We can see from the diagram that angle 3 and the angle measuring 57 degrees are supplementary.  This means that their sum should equal 180 degrees, and the two angles together make a straight line.  This lets us set up the following equation:

m<3 + 57 = 180

To solve, we subtract 57 from both sides of the equation.

m<3 = 123 degrees

Finally, we can solve for angle 4.

We can solve for angle 4 using the same strategy we used to solve for angle 1.  Our equation for angle 4 is as follows:

m<2 + m<3 + m<4 = 180

18 + 123 + m<4 = 180

Let's first simplify the left side of the equation.

141 + m<4 = 180

We can subtract 141 from both sides of the equation as our next step.

m<4 = 39 degrees

Therefore, the correct answers are m<1 = 51 degrees, m<2 = 18 degrees, m<3 = 123 degrees, and m<4 = 39 degrees.

Hope this helps!

8 0
3 years ago
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